What is the Least Common Multiple of 76500 and 76516?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 76500 and 76516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76500 and 76516, than apply into the LCM equation.

GCF(76500,76516) = 4
LCM(76500,76516) = ( 76500 × 76516) / 4
LCM(76500,76516) = 5853474000 / 4
LCM(76500,76516) = 1463368500

Least Common Multiple (LCM) of 76500 and 76516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76500 and 76516. First we will calculate the prime factors of 76500 and 76516.

Prime Factorization of 76500

Prime Factorization of 76516

Now multiplying the highest exponent prime factors to calculate the LCM of 76500 and 76516.

LCM(76500,76516) = 2² × 3² × 5³ × 17¹ × 11¹ × 37¹ × 47¹
LCM(76500,76516) = 1463368500